Slope and Slope-Intercept Form

Front

What is the slope?

Back

The slope is a measure of the steepness or incline of a line, represented as the ratio of the rise (change in y) over the run (change in x).

Front

In the equation y=mx+b, what does the m represent?

Back

In the equation y=mx+b, m represents the slope of the line.

Front

Find the slope of the line that passes through (-9, -6) and (-9, -10).

Back

The slope is Undefined because the line is vertical.

Front

What is the slope in the equation y=2x + 3?

Back

The slope is 2.

Front

What does the term 'slope-intercept form' mean?

Back

Slope-intercept form is a way of writing the equation of a line as y=mx+b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept in the equation y=2x + 3?

Back

The y-intercept is 3.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is Undefined.

Front

If a line has a slope of -3, what does this indicate about its direction?

Back

A slope of -3 indicates that the line descends from left to right.